| John Playfair - 1829 - 186 sider
...each other; then will the other two sides be equal, each to each, and the third angle of one triangle **to the third, angle of the other. Let ABC, DEF be two triangles which have the angles** B, C equal to the angles E, F, each to each, and the side UC equal to EF; then the other sides will... | |
| Pierce Morton - 1830 - 272 sider
...sides are opposite, and the base, or third side, of the one shall be equal to the base, or third side, **of the other. Let ABC, DEF be two triangles, which have the** two sides AB, AC, equal to the two sides DE, DF, each to each, viz. AB to DE, and Л С to D F. and... | |
| John Playfair - 1833 - 333 sider
...opposite to the equal angles in each ; then shall the other side be equal, each to each ; and also **the third angle of the one to the third angle of the...angles DEF, EFD, viz. ABC to DEF, and BCA to EFD,** also one side equal to one side ; and first, let those sides be equal which are adjacent to the angles... | |
| William Sullivan - 1833 - 352 sider
...opposite to the equal angles in each; then shall the other sides be equal, each to each ; and also **the third angle of the one, to the third angle of the other.** But to prove that such equality exists, a process of reasoning must be gone through. To make out that... | |
| Thomas Perronet Thompson - 1833 - 150 sider
...which has its third side the greater, shall be greater than the angle between the sides equal to them, **of the other. Let ABC, DEF be two triangles which have the** two sides AB, AC equal to the two DE, DF respectively, viz. AB to DE, and AC to DF ; but the third... | |
| Euclides - 1834
...each, then shall the other sides be equal, each to each, and also the third angle of the one, to Ike **third angle of the other. Let ABC, DEF be two triangles, which have the angles ABC,** BCA equal to the angles DEF, EFD, each to each, viz. ABC to DEF, and BCA to EFD; also one side equal... | |
| Robert Simson - 1835 - 513 sider
...sides opposite to equal angles in each ; then shall the other sides be equal, each to each ; and also **the third angle of the one to the third angle of the other. Let** ABC,DEFbe two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF,... | |
| Euclid - 1835 - 513 sider
...sides opposite to equal angles in each ; then shall the other sides be equal, each to each ; and also **the third angle of the one to the third angle of the other. Let** ABC,DEF be two triangles which have theangles ABC, BC A equal to the angles DEF, EFD, viz. ABC to DEF,... | |
| John Playfair - 1836 - 114 sider
...side, the triangles shall be equivalent. Let ABC, DEF be two triangles which have the angles ABC, BC A, **equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD** ; also let BC be equal to EF, the triangles shall be equivalent. Because the three angles in each of... | |
| 1836 - 472 sider
...opposite to the equal angles in each; then shall the other sides be equal, each to each ; and also **the third angle of the one to the third angle of the other.** XXVJI. If a straight line falling upon two other straight lines makes the alternate angles equal to... | |
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